Mathematical pathologies as pathways into creativity

被引：16
作者：
Sriraman, Bharath [1 ]
Dickman, Benjamin [2 ]
机构：
[1] Univ Montana, Dept Math Sci, Missoula, MT 59812 USA
[2] Hewitt Sch, Dept Math, New York, NY USA
来源：
ZDM-MATHEMATICS EDUCATION | 2017年 / 49卷 / 01期
关键词：
Creativity; Convergent thinking; Divergent; thinking; Heuristics; Lakatosian heuristics; Pathologies; Mathematical pathologies; Problem-posing;
D O I：
10.1007/s11858-016-0822-8
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
In this paper, the role of mathematical pathologies as a means of fostering creativity in the classroom is discussed. In particular, it delves into what constitutes a mathematical pathology, examines historical mathematical pathologies as well as pathologies in contemporary classrooms, and indicates how the Lakatosian heuristic can be used to formulate problems that illustrate mathematical pathologies. We discuss the relationship between mathematical pathologies and their role in fostering creativity. The paper concludes with remarks on mathematical pathologies from the perspective of creativity studies at large.
引用
收藏
页码：137 / 145
页数：9
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